Elliptic Ruijsenaars-Toda and elliptic Toda chains: classical r-matrix structure and relation to XYZ chain

2026/04/20 by D. Murinov, A. Zotov
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1016/j.geomphys.2026.105848

openalex publication_date 2026/04/20 · openalex created_date 2026/04/21 · openalex updated_date 2026/07/28

Citations

• Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model
• Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
• Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation
• On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion
• Field theory generalizations of two-body Calogero–Moser models in the form of Landau–Lifshitz equations
• On factorized Lax pairs for classical many-body integrable systems
• Elliptic analog of the Toda lattice
• Ruijsenaars' commuting difference operators as commuting transfer matrices